Solve the problem.
-The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer finishes a race in 30 seconds with an average speed of 5 feet per second. Find the average
Speed of the swimmer if it takes 25 seconds to finish the race.
A) 8 feet per second
B) 7 feet per second
C) 5 feet per second
D) 6 feet per second

Question

Quizplus · Accepted Answer

The relationship between time and speed is given by the formula $ t = \frac{k}{v} $, where $ t $ is the time, $ v $ is the speed, and $ k $ is a constant. Given $ t_1 = 30 $ seconds and $ v_1 = 5 $ feet per second, we can find $ k = t_1 \cdot v_1 = 30 \cdot 5 = 150 $. For $ t_2 = 25 $ seconds, we solve for $ v_2 $ in $ 25 = \frac{150}{v_2} $, giving $ v_2 = \frac{150}{25} = 6 $ feet per second.

Solve the Problem. -The Amount of Time It Takes a Swimmer to Swim